Open Access Open Access  Restricted Access Subscription or Fee Access

Algorithmic Approach to the Length of the Words of String Token Petri Nets

D.K. Shirley Gloria, Dr. K. Rangarajan

Abstract


In string token Petri nets(STPN), strings are used as tokens [2]. In a Petri net[1], the sequence of firing of transitions which leads to the final marking forms a language. Whereas in string token Petri nets(STPN), the string in the final marking of STPN forms a language. Utilizing the concept of derivation in string languages[3], string token Petri net(STPN) derivation languages are studied. The ranking and unranking algorithm for the type of languages are discussed and complexity results are studied.

Keywords


In string token Petri nets,Incidence functions,concurrent and parallel programs

Full Text:

PDF

References


James Peterson, Petrinet theory and modeling of systems,Printice Hall,1997.

[Beulah Immanuel and K.Rangarajan, K.G.Subramanian, String – token Petri nets, Proceedings of the European Conferenceon Artificial Intelligence, One day workshop On symbolic networks at Valencia, Spain (2004) (submitted for publication).

Erkki Mäkinen, Ranking and unranking left szilard languages, Department of computer science, Series of publications A, A-1997-2, January 1997.

Erkki Mäkinen, on context-free derivations, Acta Universitatis Tamperensis 198,1985.

Etsuro Moriya, Associate language and derivational complexity of formal grammars and languages, Information and control 22 (1973), 139-162.

Martti Penttonen, On derivation languages corresponding to context-free grammars, Acta Inform.3(1974),285-291.

T. Murata, "Petri Nets: Properties, Analysis and Applications," an invited survey paper, Proceedings of the IEEE, Vol.77, No.4 pp.541-580, April, 1989.

J.Castellanos, C.Martin-vide, V.Mitrana, J.M.Sempere, “Networks of evolutionary processors”, Acta informatica (6-9), Vol.39(2003), 517-529.


Refbacks

  • There are currently no refbacks.


Creative Commons License
This work is licensed under a Creative Commons Attribution 3.0 License.